The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  2  2  1  1 12  1  2  1  0  1  1  1
 0  2  0  6  0  6  0  2  4 10 14  2  4 14  6  0 14  2 14 10  0  2  8  2  0
 0  0 12  0  0  4  4  4 12  4 12  0  0  8  4  4 12  8  8  8  0  4  8  4  4
 0  0  0 12 12  4  4  0  8 12  0  8 12 12  4  4  0  8  4  0  8  4  4  0 12
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  8  0  8  0  8
 0  0  0  0  0  0  8  8  8  8  0  0  8  0  0  8  0  0  8  8  8  0  8  0  0

generates a code of length 25 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+33x^18+94x^19+168x^20+328x^21+861x^22+1428x^23+4062x^24+2424x^25+4071x^26+1472x^27+845x^28+312x^29+151x^30+76x^31+36x^32+8x^33+4x^34+2x^35+7x^36+1x^40

The gray image is a code over GF(2) with n=200, k=14 and d=72.
This code was found by Heurico 1.16 in 1.39 seconds.